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Finding the Fourth Proportional to 13,589.91, 18,754.29 and 8,211.60

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Solution

The fourth proportional to 13,589.91, 18,754.29 and 8,211.60 is: 11,332.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,589.91 : 18,754.29 = 8,211.60 : x
  2. Step 2: Convert to fraction form
    13,589.91/18,754.29 = 8,211.60/x
  3. Step 3: Cross multiply
    13,589.91x = 18,754.29 × 8,211.60
  4. Step 4: Simplify right side
    13,589.91x = 154,002,707.24
  5. Step 5: Solve for x
    x = 154,002,707.24/13,589.91
  6. Step 6: Final answer
    x = 11,332.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.